1000111102120 has 128 divisors (see below), whose sum is σ = 2448532709280. Its totient is φ = 365437440000.

The previous prime is 1000111102117. The next prime is 1000111102129. The reversal of 1000111102120 is 212011110001.

It can be written as a sum of positive squares in 16 ways, for example, as 158609434564 + 841501667556 = 398258^2 + 917334^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1000111102097 and 1000111102106.

It is not an unprimeable number, because it can be changed into a prime (1000111102129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160760610 + ... + 160766830.

Almost surely, 2^{1000111102120} is an apocalyptic number.

1000111102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000111102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224266354640).

1000111102120 is an abundant number, since it is smaller than the sum of its proper divisors (1448421607160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1000111102120 is a wasteful number, since it uses less digits than its factorization.

1000111102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9407 (or 9403 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1000111102120 its reverse (212011110001), we get a palindrome (1212122212121).

The spelling of 1000111102120 in words is "one trillion, one hundred eleven million, one hundred two thousand, one hundred twenty".